WordPress single page website and SEO

Hi,

I am developing single page website in WordPress nad I run into a problem. I will try to explain it as best as I can.

The website is https://wpweby.cz/sbeauty/
Currently, when you hover menu item Kosmetika, you can see there is link https://wpweby.cz/sbeauty/#kosmetika – that is how visitor is redirected to the section Kosmetika on the page. But this is bad for SEO, I need URL to be https://wpweby.cz/sbeauty/kosmetika so it is indexed by Google. That is my first problem.

Now, second problem for me is that when I create page in WordPress administration, it automatically creates URL for that page – so for example for Kosmetika, there exists URL https://wpweby.cz/sbeauty/kosmetika. Although no visitor will get to that page through my website, it exists therefore Google will index it – and that’s why anyone can get to that page through Google. Yes I can disable indexing of https://wpweby.cz/sbeauty/kosmetika in robots.txt, but that doesn’t solve my problem – I want URL https://wpweby.cz/sbeauty/kosmetika to be indexed, but on the homepage for section with id kosmetika.

So basically, I need this:

1, Actual page https://wpweby.cz/sbeauty/kosmetika to be removed (or WordPress not to create URL for pages)
2, Every section on front-page to have its own indexable URL, so https://wpweby.cz/sbeauty/#kosmetika to be https://wpweby.cz/sbeauty/kosmetika and I need this to be indexed by google

I searched a lot and unfortunately I haven’t found anyone dealing with this specific problem. I’d be glad if you could help me somehow. Thank you very much!